Prime p₀= 1022523891801585377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1022521853749978013	0 18 68 80 98 104 108 134 150 176 180 186 204 216 266 284	-2038051607364
SPT(16)	1022522095956248021	0 18 26 36 116 120 122 128 150 156 158 162 242 252 260 278	-1795845337356
SPT(16)	1022522568567480089	0 2 30 44 74 90 120 152 162 194 224 240 270 284 312 314	-1323234105288
TPT(14)	1022522868575256341	0 2 18 20 60 62 96 98 150 152 168 170 306 308	-1023226329036
SPT(16)	1022523091454956643	0 14 18 24 38 54 56 96 128 168 170 186 200 206 210 224	-800346628734
STPT(10)	1022523316842237149	0 2 18 20 30 32 42 44 60 62	-574959348228
SPT(16)	1022524056226867499	0 18 50 68 78 134 152 242 330 420 438 494 504 522 554 572	164425282122
SPT(16)	1022524641427479269	0 18 32 92 134 150 158 162 230 234 242 258 300 360 374 392	749625893892
STPT(10)	1022524713182480489	0 2 18 20 60 62 102 104 120 122	821380895112
STPT(10)	1022524951840711349	0 2 42 44 120 122 198 200 240 242	1060039125972
SPT(16)	1022525298983975377	0 24 34 64 76 96 120 142 174 196 220 240 252 282 292 316	1407182390000